The gradient of a line is a measure of its steepness. Have a play with the diagram below: change the steepness and make the gradient change. See if you can make the gradient negative. See if you can make it equal $0.$

The gradient is often denoted by $m,$ and it is calculated by

If we are on the line, and we move to the right by $1$ unit, we move in the $y$ direction by $m$ units:

1. Find, if possible, the gradient between the points

   $$(-18,9)\text{and}(14,10)$$

2. Find, if possible, the gradient between the points

   $$(13,-6)\text{and}(-3,18)$$

3. Find, if possible, the gradient between the points

   $$(-4,3)\text{and}(7,3)$$

4. Find, if possible, the gradient between the points

   $$(2,10)\text{and}(2,4)$$

5. The gradient of the line segment connecting the points

   $$(3,-5)\text{and}(7,d)$$

   is $\frac{1}{4}.$ Find the value of $d.$